SOLUTION: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 108 kilograms. A delivery of 3 large

Algebra ->  Linear-equations -> SOLUTION: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 108 kilograms. A delivery of 3 large       Log On


   

Question 1092530: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 108 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 5 kilograms. How much does each type of box weigh?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = weight in kg of a large box
Let +b+ = weight in kg of a small box
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(1) +5a+%2B+6b+=+108+ kg
(2) +3a+%2B+2b+=+5+ kg
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Multiply both sides of (2) by +3+
and subtract (2) from (1)
(1) +5a+%2B+6b+=+108+
(2) +-9a+-+6b+=+-15+
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+-4a+=+93+
+a+=+-23.25+
Answer can't be negative, are you sure the
numbers are right? 5 kg of total weight
looks suspicious.